7,083,471

3 × 23 × 251 × 409

Starting at 7,083,471, the Collatz iteration reaches 1 after 235 steps. The first transition is 21250414; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 23 × 251 × 409

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 9,918,720

Proper Divisor Sum 2,835,249

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #7083463 ← → #7083487

Radix Representation

Decimal	7083471
Binary	11011000001010111001111 (23 bits)
Octal	0o33012717
Hexadecimal	0x6C15CF

Divisor Catalog (16)

1 3 23 69 251 409 753 1,227 5,773 9,407 17,319 28,221 102,659 307,977 2,361,157 7,083,471

Collatz Trajectory (235 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

7,083,471 21,250,414 10,625,207 31,875,622 15,937,811 47,813,434 23,906,717 71,720,152 35,860,076 17,930,038 8,965,019 26,895,058 13,447,529 40,342,588 20,171,294 10,085,647 30,256,942 15,128,471 45,385,414 22,692,707 68,078,122 34,039,061 102,117,184 51,058,592 25,529,296 12,764,648 6,382,324 3,191,162 1,595,581 4,786,744 2,393,372 1,196,686 598,343 1,795,030 897,515 2,692,546 1,346,273 4,038,820 2,019,410 1,009,705 3,029,116 1,514,558 757,279 2,271,838 1,135,919 3,407,758 1,703,879 5,111,638 2,555,819 7,667,458 3,833,729 11,501,188 5,750,594 2,875,297 8,625,892 4,312,946 2,156,473 6,469,420 3,234,710 1,617,355

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